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`A = ( "c" ^2 * sin( beta ) * sin( alpha )) / (2 * sin( 360^o - alpha - beta )`

Enter a value for all fields

The **Area of a Triangle Based on Two Angles and the Interior Side** calculator computes the area of a triangle given the measurement of two of the triangle’s angles and the dimension of the interior side.

**INSTRUCTIONS:** Choose units and enter the following: :

**(α)**Angle 1**(β)**Angle 2**(c)**Length of Side in between them.

**Area of a Triangle (A):** The calculator computes the area of the triangle in square meters (m^{2}). However, this can be automatically converted to other area units (e.g. square feet) via the pull-down menu.

The formula for the area of a triangle based on two angles and the length of the side in between them is:

`A = (c^2 * sin(β) * sin(α)) / (2 * sin( 2π - α - β)`

where:

- A = Area of triangle
- α = one interior angle
- β = second interior angle
- c = length of side between angles

A **triangle** is a polygon with three sides, three vertices (corners), and three angles. **Triangles **can be classified based on the lengths of their sides and the measures of their angles as follows:

By Side Lengths:

**Equilateral Triangle**: All three sides are equal in length.**Isosceles Triangle**: Two sides are equal in length.**Scalene Triangle**: All three sides have different lengths.

By Angle Measures:

**Acute Triangle**: All three angles are less than 90 degrees.**Right Triangle**: One angle is exactly 90 degrees.**Obtuse Triangle**: One angle is greater than 90 degrees.

The sum of the interior angles of any triangle always adds up to 180 degrees.

- Area of Triangle (base and height)
- Area of Triangle (two sides and interior angle)
- Area of Triangle (two angles and interior side)
- Area of Triangle (three sides)
- Area of Equilateral Triangle
- Area of Triangle (three points)
- Height of Triangle
- Width of Triangle
- Triangle Perimeter
- Interior Angle of a triangle based on the length of three sides
- Semi-perimeter of a triangle
- Area of Circle Within a Triangle
- Area of Circle Around a Triangle
- Area between two vectors
- Triangle Volume